An error mathematic model of minimum deviation ellipse interpolation method was established, complete induction was adopted to prove that the error of minimum deviation ellipse interpolation method is not more than half pulse equivalence.

• 从建立最小偏差椭圆插补算法的偏差公式的数学模型入手,利用数学归纳法证明了采用该方法得到的偏差不大于1/个脉冲当量,并用实例加以验证。